Rabbit's position vector (r) in the unit vector is 203.5î - 57j and the magnitude and directional angle of vector (r) are 195.35m and 0.004° respectively.
Given
x = 0.3t² + 7.2t + 28
y = 0.22t² - 9.1t +30
At t = 15s
x = 0.3(15)² + 7.2(15) +28 = 203.5
y = 0.22(15)² - 9.1(15) + 30 = -57
The rabbit's position vector (r) in unit vector notation is:
r = 203.5î - 57j
The magnitude of position vector (r)
r = √x² + y²
r = √(203.5)² - (57)² =√38163.25
= 195.35m
The directional angle of position vector (r)
tanθ = y/x = -57/203.5
θ =
(-57/203.5)
θ = 0.004°
Hence, rabbit's position vector (r) in the unit vector is 203.5î - 57j and the magnitude and directional angle of vector (r) are 195.35m and 0.004° respectively.
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Answer:
-A. Has a large volume of water
-B. Occurs only during a thunderstorm
-C. Occurs quickly
Explanation:
Flooding usually happens when large volumes of rainfall occur in relatively short time periods. Dependent on soil variants, water content, nearby trees growth and density, these are usually enough to cause rivers to overflow their banks and also occur when storms force large volumes of water from the ocean to travel inland. Typically these occur in arid ecosystems, having low average rainfall- the water accumulates in dry regions and saturates the area. Flash floods, in particular, are characterised by their relatively short duration; they typically happen within minutes or hours of due to extra rainfall, broken dams or levees during slow-moving thunderstorms or hurricanes -storms generally include heavy rainfall, lightning and strong winds. Thesephenomena are majorly destructive and can uproot trees, destroy bridges, buildings and other infrastructure while leading to loss of life.